TY - GEN
T1 - ON the SPATIAL VERSIONS of the ZAKHAROV and DYSTHE MODELS
AU - Shemer, Lev
AU - Kit, Eliezer
N1 - Publisher Copyright:
© 2003 World Scientific Publishing Co. Pte. Ltd.
PY - 2003
Y1 - 2003
N2 - Spatial evolution of nonlinear deep-water wave groups is studied experimentally and numerically. Spatial two-dimensional version of the Zakharov equation describing evolution of deep-water gravity waves is used to derive two 4th order evolution equations, for the amplitudes of the surface elevation and of the velocity potential. The scaled form of the equations is presented. The experimental results for wave groups with initial narrow spectrum are compared with the computations based on the unidirectional Zakharov equation and the Dysthe model. The very good agreement between the computational results based on both models with the experiments prompted an attempt to perform simulations for a wider initial spectral width, that formally violate the assumptions adopted in the derivation of the Dysthe model. The accuracy of the results based on the Dysthe model is checked against the solutions of the Zakharov equation, which is free of restrictions on the spectral width. Conclusions regarding the domain of validity of the Dysthe model are drawn.
AB - Spatial evolution of nonlinear deep-water wave groups is studied experimentally and numerically. Spatial two-dimensional version of the Zakharov equation describing evolution of deep-water gravity waves is used to derive two 4th order evolution equations, for the amplitudes of the surface elevation and of the velocity potential. The scaled form of the equations is presented. The experimental results for wave groups with initial narrow spectrum are compared with the computations based on the unidirectional Zakharov equation and the Dysthe model. The very good agreement between the computational results based on both models with the experiments prompted an attempt to perform simulations for a wider initial spectral width, that formally violate the assumptions adopted in the derivation of the Dysthe model. The accuracy of the results based on the Dysthe model is checked against the solutions of the Zakharov equation, which is free of restrictions on the spectral width. Conclusions regarding the domain of validity of the Dysthe model are drawn.
UR - http://www.scopus.com/inward/record.url?scp=84950148378&partnerID=8YFLogxK
U2 - 10.1142/9789812791306_0097
DO - 10.1142/9789812791306_0097
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???
AN - SCOPUS:84950148378
T3 - Proceedings of the Coastal Engineering Conference
SP - 1143
EP - 1154
BT - Proceedings of the 28th International Conference on Coastal Engineering 2002
A2 - Smith, Jane McKee
PB - American Society of Civil Engineers (ASCE)
T2 - 28th International Conference on Coastal Engineering, ICCE 2002
Y2 - 7 July 2002 through 12 July 2002
ER -